K13n424
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Polynomial invariants
| Jones polynomial | Data:K13n424/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^4+5 t^3-14 t^2+26 t-31+26 t^{-1} -14 t^{-2} +5 t^{-3} - t^{-4} }[/math] |
| Conway polynomial | Data:K13n424/Conway Polynomial |
| Determinant | 123 |
| Signature | -2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -a^2 z^8+a^4 z^6-5 a^2 z^6+z^6+2 a^4 z^4-9 a^2 z^4+3 z^4+a^6 z^2-5 a^2 z^2+3 z^2+a^6-2 a^4+a^2+1 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ a^4 z^{10}+a^2 z^{10}+3 a^5 z^9+8 a^3 z^9+5 a z^9+3 a^6 z^8+12 a^4 z^8+16 a^2 z^8+7 z^8+a^7 z^7+4 a^5 z^7-2 a^3 z^7-a z^7+4 z^7 a^{-1} +a^6 z^6-23 a^4 z^6-41 a^2 z^6+z^6 a^{-2} -16 z^6+5 a^7 z^5-8 a^5 z^5-22 a^3 z^5-18 a z^5-9 z^5 a^{-1} +3 a^8 z^4+12 a^4 z^4+28 a^2 z^4-2 z^4 a^{-2} +11 z^4-6 a^7 z^3+3 a^5 z^3+17 a^3 z^3+14 a z^3+6 z^3 a^{-1} -3 a^8 z^2+a^4 z^2-7 a^2 z^2+z^2 a^{-2} -4 z^2+2 a^7 z+2 a^5 z-2 a^3 z-3 a z-z a^{-1} -a^6-2 a^4-a^2+1 }[/math] |
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